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13113200420 = 2252417013881
BaseRepresentation
bin11000011011001101…
…11000111100100100
31020211212210121020122
430031212320330210
5203323434403140
610005113221112
7642646236005
oct141546707444
936755717218
1013113200420
11561a072621
12265b701798
13130c9879b8
148c57d51ac
1551b362ab5
hex30d9b8f24

13113200420 has 48 divisors (see below), whose sum is σ = 27698566896. Its totient is φ = 5214720000.

The previous prime is 13113200413. The next prime is 13113200431. The reversal of 13113200420 is 2400231131.

13113200420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1374778084 + 11738422336 = 37078^2 + 108344^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3376880 + ... + 3380760.

It is an arithmetic number, because the mean of its divisors is an integer number (577053477).

Almost surely, 213113200420 is an apocalyptic number.

13113200420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13113200420 is an abundant number, since it is smaller than the sum of its proper divisors (14585366476).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13113200420 is a wasteful number, since it uses less digits than its factorization.

13113200420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4832 (or 4830 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 13113200420 its reverse (2400231131), we get a palindrome (15513431551).

The spelling of 13113200420 in words is "thirteen billion, one hundred thirteen million, two hundred thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 241 482 701 964 1205 1402 2410 2804 3505 3881 4820 7010 7762 14020 15524 19405 38810 77620 168941 337882 675764 844705 935321 1689410 1870642 2720581 3378820 3741284 4676605 5441162 9353210 10882324 13602905 18706420 27205810 54411620 655660021 1311320042 2622640084 3278300105 6556600210 13113200420